Finite Group Databasebeta

← #25979802

Subgroups — #25979802

Order 11008.

1886 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148597C211yesmaximal, characteristic, complemented
2#19148523C211yesmaximal, characteristic, complemented
3#19147640C211yesmaximal, characteristic, complemented
4#19147537C211yesmaximal, characteristic, complemented
5#19147361C211yesmaximal, characteristic, complemented
6#19147306C211yesmaximal, characteristic, complemented
7#19147148C211yesmaximal, characteristic, complemented
8#19147068C211yesmaximal, characteristic, complemented
9#19147062C211yesmaximal, characteristic, complemented
10#19146925C211yesmaximal, characteristic, complemented
11#19146793C211yesmaximal, characteristic, complemented
12#19146740C211yesmaximal, characteristic, complemented
13#19146719C211yesmaximal, characteristic, complemented
14#19146599C211yesmaximal, characteristic, complemented
15#19146560C211yesmaximal, characteristic, complemented
16#19146213C211yesmaximal, characteristic, complemented
17#19146141C211yesmaximal, characteristic, complemented
18#19146133C211yesmaximal, characteristic, complemented
19#19145280C211yesmaximal, characteristic, complemented
20#19145243C211yesmaximal, characteristic, complemented
21#19145188C211yesmaximal, characteristic, complemented
22#19144874C211yesmaximal, characteristic, complemented
23#19144790C211yesmaximal, characteristic, complemented
24#19144790C211yesmaximal, characteristic, complemented
25#19144700C211yesmaximal, characteristic, complemented
26#19144684C211yesmaximal, characteristic, complemented
27#19143578C211yesmaximal, characteristic, complemented
28#19143477C211yesmaximal, characteristic, complemented
29#19143427C211yesmaximal, characteristic, complemented
30C4×#13063349C211yesmaximal, characteristic, complemented
31C43×#3122C211yesmaximal, characteristic, complemented
32C2×#13063351C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×#13063344C2211yescharacteristic
35#14583632C2211yescharacteristic
36#14583626C2211yescharacteristic, complemented
37#14583606C2211yescharacteristic
38#14583602C2211yescharacteristic, complemented
39#14583601C2211yescharacteristic
40#14583595—21no—
41#14583594—21no—
42#14583593C2211yescharacteristic
43#14583592—21no—
44#14583588C2211yescharacteristic
45#14583578—21no—
46#14583575—21no—
47#14583569C2211yescharacteristic, complemented
48#14583569C2211yescharacteristic, complemented
49#14583567—21no—
50#14583567C2211yescharacteristic
51#14583567C2211yescharacteristic, complemented
52#14583554C2211yescharacteristic
53#14583549C2211yescharacteristic, complemented
54#14583547—21no—
55#14583544C2211yescharacteristic
56#14583543C2211yescharacteristic
57#14583539—21no—
58D4×C22⋊D43C2211yescharacteristic
59#14583520C2211yescharacteristic
60#14583501—21no—
61#14583500C2211yescharacteristic
62#14583500C2211yescharacteristic, complemented
63#14583499—21no—
64#14583491—21no—
65#14583487—21no—
66#14583446C2211yescharacteristic, complemented
67#14583444—21no—
68#14583431C2211yescharacteristic
69#14583427C2211yescharacteristic
70#14583426—21no—
71#14583408—21no—
72C2×#13063307—21no—
73#14583379C2211yescharacteristic, complemented
74#14583378C2211yescharacteristic
75#14583378C2211yescharacteristic, complemented
76C4×#10621900C2211yescharacteristic, complemented
77C4×D4×D43C2211yescharacteristic
78#14583309C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583299C2211yescharacteristic, complemented
81#14583287C2211yescharacteristic, complemented
82#14583286C2211yescharacteristic, complemented
83#14583274C2211yescharacteristic
84#14583262C2211yescharacteristic
85#14583262C2211yescharacteristic, complemented
86#14583262C2211yescharacteristic, complemented
87#14583257C2211yescharacteristic, complemented
88#14583256C2211yescharacteristic, complemented
89#14583245C2211yescharacteristic, complemented
90#14583243C2211yescharacteristic, complemented
91#14583230C2211yescharacteristic, complemented
92#14583222C2211yescharacteristic
93#14583219C2211yescharacteristic, complemented
94#14583218C2211yescharacteristic
95#14583216C2211yescharacteristic, complemented
96#14583216C2211yescharacteristic, complemented
97#14583216C2211yescharacteristic, complemented
98#14583214C2211yescharacteristic, complemented
99#14583214C2211yescharacteristic, complemented
100#14583209C2211yescharacteristic, complemented
101#14583205C2211yescharacteristic, complemented
102#14583205C2211yescharacteristic, complemented
103#14583201C2211yescharacteristic
104#14583201C2211yescharacteristic, complemented
105#14583201C2211yescharacteristic, complemented
106#14583190C2211yescharacteristic, complemented
107#14583188C2211yescharacteristic, complemented
108#14583187C2211yescharacteristic
109#14583185C2211yescharacteristic, complemented
110#14583153C2211yescharacteristic, complemented
111#14583151C2211yescharacteristic
112#14583150C2211yescharacteristic
113#14583149C2211yescharacteristic
114#14583149C2211yescharacteristic, complemented
115#14583146C2211yescharacteristic, complemented
116#14583144C2211yescharacteristic, complemented
117#14583143C2211yescharacteristic, complemented
118#14583134C2211yescharacteristic, complemented
119#14583134C2211yescharacteristic, complemented
120#14583133C2211yescharacteristic
121#14583126C2211yescharacteristic, complemented
122#14583122C2211yescharacteristic, complemented
123#14583120C2211yescharacteristic, complemented
124#14583115C2211yescharacteristic, complemented
125#14583112C2211yescharacteristic, complemented
126#14583098C2211yescharacteristic
127#14583098C2211yescharacteristic, complemented
128#14583093C2211yescharacteristic, complemented
129#14583092C2211yescharacteristic
130#14583092C2211yescharacteristic
131#14583092C2211yescharacteristic
132#14583063C2211yescharacteristic, complemented
133#14583062C2211yescharacteristic, complemented
134#14583046C2211yescharacteristic
135#14583045C2211yescharacteristic
136#14583045C2211yescharacteristic, complemented
137#14583041C2211yescharacteristic
138#14583041C2211yescharacteristic
139#14583041C2211yescharacteristic, complemented
140#14583034C2211yescharacteristic
141#14583031C2211yescharacteristic
142#14583028C2211yescharacteristic, complemented
143#14583026C2211yescharacteristic, complemented
144#14583012C2211yescharacteristic, complemented
145#14583011C2211yescharacteristic
146#14583011C2211yescharacteristic
147#14583009C2211yescharacteristic
148#14583009C2211yescharacteristic, complemented
149#14583009C2211yescharacteristic, complemented
150#14583008C2211yescharacteristic, complemented
151#14583007C2211yescharacteristic, complemented
152#14583005C2211yescharacteristic, complemented
153#14582999C2211yescharacteristic
154#14582999C2211yescharacteristic, complemented
155#14582999C2211yescharacteristic, complemented
156#14582998C2211yescharacteristic, complemented
157#14582996C2211yescharacteristic
158#14582990C2211yescharacteristic
159#14582990C2211yescharacteristic, complemented
160C4×#10621873C2211yescharacteristic, complemented
161C4×#10621873C2211yescharacteristic, complemented
162C4×#10621883C2211yescharacteristic
163C4×#10621883C2211yescharacteristic, complemented
164C4×#10621883C2211yescharacteristic, complemented
165C4×#10621882C2211yescharacteristic
166C4×#10621882C2211yescharacteristic, complemented
167C4×#10621882C2211yescharacteristic, complemented
168#14582976C2211yescharacteristic, complemented
169#14582974C2211yescharacteristic
170#14582973C2211yescharacteristic, complemented
171#14582969C2211yescharacteristic, complemented
172#14582967C2211yescharacteristic
173#14582967C2211yescharacteristic, complemented
174#14582958C2211yescharacteristic, complemented
175#14582954C2211yescharacteristic, complemented
176#14582942C2211yescharacteristic, complemented
177#14582940C2211yescharacteristic, complemented
178#106×D43C2211yescharacteristic, complemented
179#14582902C2211yescharacteristic
180#14582897C2211yescharacteristic
181#14582897C2211yescharacteristic, complemented
182#14582897C2211yescharacteristic, complemented
183#14582893C2211yescharacteristic, complemented
184C2×#13063246C2211yescharacteristic
185#14582856C2211yescharacteristic, complemented
186#14582855C2211yescharacteristic, complemented
187C4×#10621872C2211yescharacteristic, complemented
188C43×#540C2211yescharacteristic, complemented
189C43×#518C2211yescharacteristic
190C43×#482C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic, complemented
192C43×#478C2211yescharacteristic
193C43×#478C2211yescharacteristic, complemented
194C43×#459C2211yescharacteristic
195C43×#459C2211yescharacteristic, complemented
196C43×#447C2211yescharacteristic
197C43×#447C2211yescharacteristic
198C43×#442C2211yescharacteristic
199C43×#442C2211yescharacteristic, complemented
200C4×D8×C43C2211yescharacteristic
201C4×D8×C43C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C2×#10621900—21no—
207C2×#10621900—21no—
208C2×#10621900C2311yescharacteristic
209C2×#10621900C2311yescharacteristic
210C2×#10621900C2311yescharacteristic
211C22×C22⋊D43—21no—
212C2×D4×D43C2311yescharacteristic
213C22×C4×D43—21no—
214#13063351—24no—
215#13063349—24no—
216#13063344—24no—
217C2×Dic172C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621883C2311yescharacteristic
224C2×D344C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621877C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C2×#10621872C2311yescharacteristic
233C22×C43⋊C8C2311yescharacteristic
234C2×C8×D43C2311yescharacteristic
235#13063325C2311yescharacteristic
236#13063324—21no—
237#13063324C2311yescharacteristic
238#13063321—21no—
239#13063321—21no—
240#13063321—21no—
241#13063321C2311yescharacteristic
242#13063321C2311yescharacteristic
243#13063321C2311yescharacteristic
244#13063320—21no—
245#13063320—21no—
246#13063320D411yescharacteristic
247#13063319—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318—21no—
251#13063318D411yescharacteristic
252#13063317—21no—
253#13063316C2311yescharacteristic
254#13063316C2311yescharacteristic
255#13063316C2311yescharacteristic
256#13063315—21no—
257#13063315—21no—
258#13063315D411yescharacteristic
259#13063313C2311yescharacteristic
260#13063312C2311yescharacteristic
261#13063311—21no—
262#13063311—21no—
263#13063311—21no—
264#13063311D411yescharacteristic
265#13063310—21no—
266#13063310D411yescharacteristic
267#13063309—21no—
268#13063309—21no—
269#13063308—21no—
270#13063308—21no—
271#13063308—21no—
272#13063307—21no—
273#13063307—21no—
274#13063307—21no—
275#13063307—21no—
276#13063307—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307D411yescharacteristic
283#13063306—21no—
284#13063306—21no—
285#13063305C2311yescharacteristic
286#13063304—21no—
287#13063304—21no—
288#13063304C2311yescharacteristic
289#13063303—21no—
290#13063303D411yescharacteristic
291#13063302—21no—
292#13063302—21no—
293#13063302—21no—
294#13063300—21no—
295#13063300C2311yescharacteristic
296#13063300C2311yescharacteristic
297#13063300C2311yescharacteristic
298#13063299—21no—
299#13063299—21no—
300#13063299—21no—
301#13063299C2311yescharacteristic
302#13063298—21no—
303#13063298—21no—
304#13063298—21no—
305#13063298—21no—
306#13063298—21no—
307#13063298—21no—
308#13063298D411yescharacteristic
309#13063297—21no—
310#13063297—21no—
311#13063297—21no—
312#13063297—21no—
313#13063297—21no—
314#13063297—21no—
315#13063297—21no—
316#13063297—21no—
317#13063297—21no—
318#13063296—21no—
319#13063296C2311yescharacteristic
320#13063296C2311yescharacteristic
321#13063296C2311yescharacteristic
322#13063296C2311yescharacteristic
323#13063295—21no—
324#13063294—21no—
325#13063294—21no—
326#13063293—21no—
327C4×Dic86C2311yescharacteristic
328C4×Dic86C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330C4×Dic86C2311yescharacteristic
331#13063290—21no—
332#13063290C2311yescharacteristic
333#13063290C2311yescharacteristic
334#13063290C2311yescharacteristic
335C4×D172—21no—
336C4×D172C2311yescharacteristic
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339C4×D172C2311yescharacteristic
340D4×Dic43—21no—
341D4×Dic43—21no—
342D4×Dic43C2311yescharacteristic
343D4×Dic43C2311yescharacteristic
344D4×Dic43C2311yescharacteristic
345D4×Dic43C2311yescharacteristic
346#13063287—21no—
347#13063287C2311yescharacteristic
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352C4×C22⋊D43—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355C4×C22⋊D43C2311yescharacteristic
356C4×C22⋊D43C2311yescharacteristic
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365#13063284—21no—
366#13063283—21no—
367#13063283C2311yescharacteristic
368#13063282—21no—
369#13063282C2311yescharacteristic
370#13063281—21no—
371#13063281—21no—
372#13063281—21no—
373C2×C4⋊Dic43—21no—
374C2×C4⋊Dic43C2311yescharacteristic
375C2×Dic43⋊C4—21no—
376C2×Dic43⋊C4—21no—
377C4⋊C4×D43—21no—
378C4⋊C4×D43C2311yescharacteristic
379C4⋊C4×D43C2311yescharacteristic
380C4⋊C4×D43C2311yescharacteristic
381C2×C22⋊Dic43—21no—
382C2×(C2×D43)⋊C4—21no—
383C22⋊C4×D43—21no—
384C2×C4×Dic43—21no—
385C42×D43C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430#13063236C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C4×C43⋊C8C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C22×D4×C43C2311yescharacteristic
439C2×D8×C43C2311yescharacteristic
440C2×D8×C43C2311yescharacteristic
441C2×D8×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443#127×C43C2311yescharacteristic
444#125×C43C2311yescharacteristic
445#123×C43—21no—
446#123×C43—21no—
447#121×C43—21no—
448#121×C43—21no—
449#121×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451C4×D4×C43—21no—
452C4×D4×C43—21no—
453C4×D4×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460#117×C43C2311yescharacteristic
461C2×C22⋊C4×C43—21no—
462C2×C22⋊C4×C43—21no—
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477C22⋊C8×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C24×C43—21no—
482C23×D43—21no—
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—22no—
489C2×D4×C43—41no—
490C2×D4×C43C2411yescharacteristic
491C2×D4×C43C2411yescharacteristic
492C2×D4×C43C2411yescharacteristic
493C2×D4×C43C2411yescharacteristic
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43C2411yescharacteristic
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—82no—
518C2×C22⋊D43C2×D411yescharacteristic
519C2×C22⋊D43C2×D411yescharacteristic
520C22×Dic43—21no—
521C22×Dic43—21no—
522C22×Dic43—21no—
523C22×Dic43—21no—
524C22×Dic43—21no—
525C22×Dic43—21no—
526C22×Dic43—21no—
527C22×Dic43—21no—
528#10621900—22no—
529#10621900—22no—
530#10621900—22no—
531#10621900—41no—
532#10621900—41no—
533#10621900—41no—
534#10621900—82no—
535#10621900—82no—
536D4×D43—22no—
537D4×D43—41no—
538#10621898—22no—
539#10621898—41no—
540#10621898—82no—
541#10621898—82no—
542C2×D172—21no—
543C2×D172—21no—
544C2×D172—21no—
545C2×D172C2×D411yescharacteristic
546C2×D172C2411yescharacteristic
547C2×D172C2411yescharacteristic
548C2×C4×D43—21no—
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—82no—
557C2×C4×D43C2×D411yescharacteristic
558C2×C4×D43C2×D411yescharacteristic
559C2×C4×D43C2411yescharacteristic
560C2×C4×D43C2411yescharacteristic
561C2×Dic86—21no—
562C2×Dic86—21no—
563C2×Dic86C2×D411yescharacteristic
564C2×Dic86C2411yescharacteristic
565C2×Dic86C2411yescharacteristic
566D8×C43—22no—
567D8×C43—22no—
568D8×C43—41no—
569D8×C43—41no—
570C2×C8×C43C2411yescharacteristic
571C2×C8×C43C2411yescharacteristic
572C2×C8×C43C2411yescharacteristic
573C2×C8×C43C2411yescharacteristic
574C4⋊C4×C43—21no—
575C4⋊C4×C43—21no—
576C4⋊C4×C43C2×D411yescharacteristic
577C4⋊C4×C43C2×D411yescharacteristic
578C4⋊C4×C43C2411yescharacteristic
579C4⋊C4×C43C2411yescharacteristic
580C4⋊C4×C43C2411yescharacteristic
581C4⋊C4×C43C2411yescharacteristic
582C22⋊C4×C43—21no—
583C22⋊C4×C43—21no—
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43—21no—
587C22⋊C4×C43—21no—
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
591C22⋊C4×C43C2×D411yescharacteristic
592C22⋊C4×C43C2×D411yescharacteristic
593C42×C43—21no—
594C42×C43C2411yescharacteristic
595C42×C43C2411yescharacteristic
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43C2×D411yescharacteristic
608C22⋊Dic43C2×D411yescharacteristic
609#10621883—22no—
610#10621883—22no—
611#10621883—41no—
612#10621883#4114yescomplemented
613#10621882—22no—
614#10621882—22no—
615#10621882—22no—
616#10621882—41no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4C2×D411yescharacteristic
630(C2×D43)⋊C4C2×D411yescharacteristic
631(C2×D43)⋊C4C2×D411yescharacteristic
632(C2×D43)⋊C4C2×D411yescharacteristic
633(C2×D43)⋊C4C2×D411yescharacteristic
634(C2×D43)⋊C4C2×D411yescharacteristic
635C4⋊Dic43—21no—
636C4⋊Dic43—21no—
637C4⋊Dic43—21no—
638C4⋊Dic43—21no—
639C4⋊Dic43—21no—
640C4⋊Dic43—21no—
641C4⋊Dic43C2×D411yescharacteristic
642C4⋊Dic43C2×D411yescharacteristic
643C4⋊Dic43C2411yescharacteristic
644C4⋊Dic43C2411yescharacteristic
645C4⋊Dic43C2411yescharacteristic
646C4⋊Dic43C2411yescharacteristic
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
665Dic43⋊C4C2×D411yescharacteristic
666Dic43⋊C4C2×D411yescharacteristic
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2×D411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C4×Dic43C2411yescharacteristic
678#10621877—22no—
679C2×C43⋊C8—41no—
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684Dic172—22no—
685D344—41no—
686#10621873—22no—
687#10621873—41no—
688#10621872—22no—
689#10621872—41no—
690#10621872—41no—
691C8×D43—22no—
692C23×C43—21no—
693C23×C43—21no—
694C23×C43—21no—
695C23×C43—21no—
696C23×C43—42no—
697C23×C43—81no—
698C23×C43—81no—
699C23×C43C22×D411yescharacteristic
700C22×D43—21no—
701C22×D43—21no—
702C22×D43—42no—
703C22×D43—42no—
704C22×D43—81no—
705C22×D43C22×D411yescharacteristic
706C22×D43C22×D411yescharacteristic
707D4×C43—21no—
708D4×C43—21no—
709D4×C43—21no—
710D4×C43—21no—
711D4×C43—21no—
712D4×C43—21no—
713D4×C43—21no—
714D4×C43—42no—
715D4×C43—81no—
716D4×C43—81no—
717D4×C43—81no—
718D4×C43—81no—
719D4×C43C2×#4112yes—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—81no—
727C2×C4×C43—81no—
728C2×C4×C43—81no—
729C2×C4×C43—81no—
730C2×C4×C43—81no—
731C2×C4×C43—81no—
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C22×D411yescharacteristic
734C2×C4×C43C22×D411yescharacteristic
735C2×C4×C43C22×D411yescharacteristic
736C2×C4×C43C22×D411yescharacteristic
737C2×C4×C43C2511yescharacteristic
738C22⋊D43—41no—
739C22⋊D43—41no—
740C22⋊D43—42no—
741C22⋊D43—42no—
742C22⋊D43—42no—
743C22⋊D43—42no—
744C22⋊D43—42no—
745C22⋊D43—42no—
746C22⋊D43—42no—
747C22⋊D43—81no—
748C22⋊D43—81no—
749C22⋊D43—81no—
750C22⋊D43—81no—
751C22⋊D43—81no—
752C22⋊D43—81no—
753C22⋊D43—81no—
754C22⋊D43—81no—
755C22⋊D43—81no—
756C2×Dic43—21no—
757C2×Dic43—21no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—42no—
763C2×Dic43—42no—
764C2×Dic43—42no—
765C2×Dic43—42no—
766C2×Dic43—81no—
767C2×Dic43—81no—
768C2×Dic43—81no—
769C2×Dic43—81no—
770C2×Dic43C22×D411yescharacteristic
771C2×Dic43C22×D411yescharacteristic
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774C2×Dic43C22×D411yescharacteristic
775C2×Dic43C22×D411yescharacteristic
776D172—21no—
777D172—21no—
778D172—21no—
779D172—21no—
780D172—41no—
781D172—81no—
782D172—81no—
783D172—81no—
784C4×D43—21no—
785C4×D43—21no—
786C4×D43—21no—
787C4×D43—21no—
788C4×D43—41no—
789C4×D43—41no—
790C4×D43—42no—
791C4×D43—42no—
792C4×D43—81no—
793C4×D43—81no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798Dic86—21no—
799Dic86—21no—
800Dic86—21no—
801Dic86—41no—
802Dic86—42no—
803Dic86—81no—
804Dic86C2×#4112yes—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43—21no—
808C8×C43—21no—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8C2×#4112yes—
813#61507—431nomaximal, Sylow
814C22×C43—21no—
815C22×C43—21no—
816C22×C43—22no—
817C22×C43—21no—
818C22×C43—41no—
819C22×C43—41no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—162no—
830C22×C43C23×D411yescharacteristic
831C2×D43—21no—
832C2×D43—21no—
833C2×D43—21no—
834C2×D43—21no—
835C2×D43—21no—
836C2×D43—21no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—84no—
844C4×C43—21no—
845C4×C43—21no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—41no—
850C4×C43—41no—
851C4×C43—41no—
852C4×C43—41no—
853C4×C43C22×#4111yescharacteristic
854C4×C43#58511yescharacteristic
855Dic43—21no—
856Dic43—21no—
857Dic43—21no—
858Dic43—21no—
859Dic43—22no—
860Dic43—21no—
861Dic43—21no—
862Dic43—41no—
863Dic43—41no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867#3517—431no—
868#3513—431no—
869#3399—431no—
870#3388—431no—
871#3371—431no—
872#3366—431no—
873#3351—431no—
874#3345—431no—
875#3345—431no—
876#3332—431no—
877#3322—431no—
878#3318—431no—
879#3317—431no—
880#3309—431no—
881#3306—431no—
882#3274—431no—
883#3268—431no—
884#3268—431no—
885#3179—431no—
886#3176—431no—
887#3171—431no—
888#3125—431no—
889#3122D4311yescharacteristic, complemented
890#3119—431no—
891#3119—431no—
892#3111—431no—
893#3109—431no—
894#2967—431no—
895#2952—431no—
896#2946—431no—
897C4×AGL(1,ℤ/8)—431no—
898C2×C43—42no—
899C2×C43—41no—
900C2×C43—81no—
901C2×C43—81no—
902C2×C43—81no—
903C2×C43D4×#4111yescharacteristic
904C2×C43#358511yescharacteristic
905C2×C43#358511yescharacteristic
906D43—41no—
907D43—41no—
908D43—81no—
909D43—81no—
910C2×AGL(1,ℤ/8)—431no—
911C2×AGL(1,ℤ/8)—431no—
912C2×#135—431no—
913#559—431no—
914#557—431no—
915#554—431no—
916#553—431no—
917#553—431no—
918#553—431no—
919#553—861no—
920#553—861no—
921#553—861no—
922#552—431no—
923#551—861no—
924#551—861no—
925#550—431no—
926#550—431no—
927#550—431no—
928#550—431no—
929#550—861no—
930#547—431no—
931#547—431no—
932#547—861no—
933#546—431no—
934#546—431no—
935#546—861no—
936D42—431no—
937#542—431no—
938#540—431no—
939#540—431no—
940#540—861no—
941#540—861no—
942#540C2×D4311yescharacteristic, complemented
943#539—861no—
944#538—861no—
945#532—431no—
946#532—861no—
947#529—431no—
948#529—431no—
949#529—861no—
950#525—861no—
951C2×#123—861no—
952#520—431no—
953#520—431no—
954#520—431no—
955#518C2×D4311yescharacteristic
956C4×#41—431no—
957C2×C4×D4—431no—
958#501—431no—
959#501—431no—
960#499—431no—
961#496—431no—
962#496—431no—
963#493—431no—
964#490—431no—
965#490—431no—
966#490—431no—
967#489—431no—
968#488—431no—
969#486—431no—
970#485—431no—
971#483—431no—
972#482—431no—
973#482C2×D4311yescharacteristic, complemented
974#482C2×D4311yescharacteristic, complemented
975#481—431no—
976#481—431no—
977#481—431no—
978#481—431no—
979#481—431no—
980#480—431no—
981#480—431no—
982#479—431no—
983#479—431no—
984#479—431no—
985#478—431no—
986#478—431no—
987#478—431no—
988#478C2×D4311yescharacteristic
989#478C2×D4311yescharacteristic, complemented
990#476—431no—
991#476—431no—
992#476—431no—
993#475—431no—
994#469—431no—
995#469—431no—
996#469—431no—
997#469—431no—
998#469—431no—
999#468—431no—
1000#468—431no—
1001#468—431no—
1002#466—431no—
1003#466—431no—
1004#466—431no—
1005#465—431no—
1006#464—431no—
1007#464—431no—
1008#463—431no—
1009#463—431no—
1010#460—431no—
1011#460—431no—
1012#459—431no—
1013#459—431no—
1014#459—431no—
1015#459—431no—
1016#459C2×D4311yescharacteristic
1017#459C2×D4311yescharacteristic, complemented
1018#452—431no—
1019#452—431no—
1020#449—431no—
1021#449—431no—
1022#449—431no—
1023#449—431no—
1024#449—431no—
1025#449—431no—
1026#447—431no—
1027#447—431no—
1028#447C2×D4311yescharacteristic
1029#447C2×D4311yescharacteristic
1030#446—431no—
1031#446—431no—
1032#442—431no—
1033#442—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442C2×D4311yescharacteristic
1040#442C2×D4311yescharacteristic, complemented
1041#441—431no—
1042#441—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048C4×SD16—431no—
1049C4×SD16—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8C2×D4311yescharacteristic
1059C4×D8C2×D4311yescharacteristic, complemented
1060#436—431no—
1061#436—431no—
1062#435—431no—
1063#435—431no—
1064#435—431no—
1065#435—431no—
1066#433—431no—
1067#433C2×D4311yescharacteristic, complemented
1068#432—431no—
1069#428—431no—
1070#428—431no—
1071C2×#106—431no—
1072#418—431no—
1073#417—431no—
1074#417—431no—
1075#417—431no—
1076#416—431no—
1077C2×#102—431no—
1078#405—431no—
1079#405—431no—
1080C4×M16—431no—
1081C43#6150711yescharacteristic, complemented, Sylow
1082C2×#41—431no—
1083C2×#41—431no—
1084C2×#41—431no—
1085C2×#41—431no—
1086C2×#41—861no—
1087C2×#41—861no—
1088C2×#41—861no—
1089C2×#41—861no—
1090C22×D4—431no—
1091C22×D4—861no—
1092C22×D4C22×D4311yescharacteristic
1093C23×C4—861no—
1094AGL(1,ℤ/8)—864no—
1095AGL(1,ℤ/8)—864no—
1096#135—864no—
1097C2×Q16—431no—
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—431no—
1103C2×SD16—431no—
1104C2×D8—431no—
1105C2×D8—431no—
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8C22×D4311yescharacteristic
1110C2×D8C22×D4311yescharacteristic
1111C2×D8C22×D4311yescharacteristic
1112C2×D8C22×D4311yescharacteristic
1113C2×M16—431no—
1114C2×M16—431no—
1115C2×M16—431no—
1116C2×M16—431no—
1117C22×C8—431no—
1118C22×C8—431no—
1119C4⋊Q8—431no—
1120C4⋊Q8—431no—
1121C4⋊Q8—861no—
1122#127—431no—
1123#127—431no—
1124#127—431no—
1125#127—861no—
1126#127—861no—
1127#127—861no—
1128#127C22×D4311yescharacteristic
1129#126—431no—
1130#126—431no—
1131#126—861no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#126—861no—
1137#125—431no—
1138#125—431no—
1139#125—431no—
1140#125—431no—
1141#125—861no—
1142#125—861no—
1143#125—861no—
1144#125C22×D4311yescharacteristic
1145#124—431no—
1146#124—431no—
1147#124—431no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#123—21no—
1152#123—21no—
1153#123—431no—
1154#123—431no—
1155#123—861no—
1156#123—861no—
1157#123—861no—
1158#123—861no—
1159#123—861no—
1160#123—861no—
1161#123—861no—
1162#123—861no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172#123—861no—
1173C22⋊Q8—431no—
1174C22⋊Q8—431no—
1175C22⋊Q8—431no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181C22⋊Q8—861no—
1182#121—21no—
1183#121—21no—
1184#121—431no—
1185#121—431no—
1186#121—431no—
1187#121—431no—
1188#121—431no—
1189#121—431no—
1190#121—431no—
1191#121—431no—
1192#121—431no—
1193#121—861no—
1194#121—861no—
1195#121—861no—
1196#121—861no—
1197#121—861no—
1198#121—861no—
1199#121—861no—
1200#121—861no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121—861no—
1211#121—861no—
1212#121—861no—
1213#121C22×D4311yescharacteristic
1214#121C22×D4311yescharacteristic
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219C4×Q8—431no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—431no—
1225C4×Q8—431no—
1226C4×Q8—861no—
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—431no—
1230C4×D4—431no—
1231C4×D4—431no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—861no—
1241C4×D4—861no—
1242C4×D4—861no—
1243C4×D4—861no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4C22×D4311yescharacteristic
1260C4×D4C22×D4311yescharacteristic
1261C4×D4C22×D4311yescharacteristic
1262C4×D4C22×D4311yescharacteristic
1263C4×D4C22×D4311yescharacteristic
1264C4×D4C22×D4311yescharacteristic
1265#117—431no—
1266#117—431no—
1267#117—861no—
1268#117—861no—
1269#117—861no—
1270#117—861no—
1271#117—861no—
1272#117—861no—
1273#117C22×D4311yescharacteristic
1274#117C22×D4311yescharacteristic
1275C2×C4⋊C4—431no—
1276C2×C4⋊C4—431no—
1277C2×C4⋊C4—431no—
1278C2×C4⋊C4—431no—
1279C2×C4⋊C4—861no—
1280C2×C4⋊C4—861no—
1281C2×C4⋊C4—861no—
1282C2×C4⋊C4—861no—
1283C2×C22⋊C4—21no—
1284C2×C22⋊C4—21no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C42—431no—
1289C2×C42—861no—
1290#107—431no—
1291#107—431no—
1292#107—431no—
1293#107—431no—
1294#107C22×D4311yescharacteristic
1295#107C22×D4311yescharacteristic
1296#106—431no—
1297#106—431no—
1298#106—431no—
1299#106—431no—
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106C22×D4311yescharacteristic
1305#106C22×D4311yescharacteristic
1306C4⋊C8—431no—
1307C4⋊C8—431no—
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8C22×D4311yescharacteristic
1311C4⋊C8C22×D4311yescharacteristic
1312#103—431no—
1313#103—431no—
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103—431no—
1319#103—431no—
1320#102—431no—
1321#102—431no—
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
1328#102—431no—
1329#102—431no—
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102C22×D4311yescharacteristic
1337#102C22×D4311yescharacteristic
1338#102C22×D4311yescharacteristic
1339#102C22×D4311yescharacteristic
1340#102C22×D4311yescharacteristic
1341#102C22×D4311yescharacteristic
1342#102C22×D4311yescharacteristic
1343#102C22×D4311yescharacteristic
1344C22⋊C8—431no—
1345C22⋊C8—431no—
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8C22×D4311yescharacteristic
1349C22⋊C8C22×D4311yescharacteristic
1350#97—431no—
1351#97—431no—
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97C22×D4311yescharacteristic
1356C4×C8—431no—
1357C4×C8—431no—
1358C4×C8—431no—
1359C4×C8C22×D4311yescharacteristic
1360C24—21no—
1361C24—861no—
1362#41—862no—
1363#41—862no—
1364#41—862no—
1365#41—862no—
1366#41—3442no—
1367#41—3442no—
1368#41—3442no—
1369#41—3442no—
1370#41—1721no—
1371#41—1721no—
1372#41—1721no—
1373#41—1721no—
1374C2×Q8—431no—
1375C2×Q8—431no—
1376C2×Q8—431no—
1377C2×Q8—861no—
1378C2×Q8—861no—
1379C2×D4—22no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—41no—
1386C2×D4—431no—
1387C2×D4—431no—
1388C2×D4—431no—
1389C2×D4—431no—
1390C2×D4—431no—
1391C2×D4—861no—
1392C2×D4—861no—
1393C2×D4—861no—
1394C2×D4—861no—
1395C2×D4—861no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—861no—
1399C2×D4—861no—
1400C2×D4—861no—
1401C2×D4—862no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—861no—
1410C2×D4—861no—
1411C2×D4—3442no—
1412C2×D4—1721no—
1413C2×D4C23×D4311yescharacteristic
1414C2×D4C23×D4311yescharacteristic
1415C2×D4C23×D4311yescharacteristic
1416C2×D4C23×D4311yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—431no—
1424C22×C4—431no—
1425C22×C4—431no—
1426C22×C4—431no—
1427C22×C4—861no—
1428C22×C4—861no—
1429C22×C4—861no—
1430C22×C4—861no—
1431C22×C4—861no—
1432C22×C4—861no—
1433C22×C4—861no—
1434C22×C4—861no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—861no—
1441C22×C4—861no—
1442C22×C4—861no—
1443C22×C4—3442no—
1444C22×C4C23×D4311yescharacteristic
1445Q16—862no—
1446SD16—434no—
1447SD16—862no—
1448SD16—862no—
1449SD16—862no—
1450SD16—1721no—
1451SD16—1721no—
1452D8—22no—
1453D8—22no—
1454D8—41no—
1455D8—41no—
1456D8—862no—
1457D8—862no—
1458D8—862no—
1459D8—1721no—
1460D8—1721no—
1461M16—862no—
1462M16—862no—
1463M16—1721no—
1464M16—1721no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—431no—
1468C2×C8—431no—
1469C2×C8—862no—
1470C2×C8—1721no—
1471C2×C8C23×D4311yescharacteristic
1472C2×C8C23×D4311yescharacteristic
1473C2×C8C23×D4311yescharacteristic
1474C2×C8C23×D4311yescharacteristic
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—431no—
1478C4⋊C4—431no—
1479C4⋊C4—431no—
1480C4⋊C4—431no—
1481C4⋊C4—431no—
1482C4⋊C4—431no—
1483C4⋊C4—431no—
1484C4⋊C4—431no—
1485C4⋊C4—431no—
1486C4⋊C4—431no—
1487C4⋊C4—431no—
1488C4⋊C4—431no—
1489C4⋊C4—861no—
1490C4⋊C4—861no—
1491C4⋊C4—861no—
1492C4⋊C4—861no—
1493C4⋊C4—861no—
1494C4⋊C4—861no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4—861no—
1500C4⋊C4—861no—
1501C4⋊C4—861no—
1502C4⋊C4—861no—
1503C4⋊C4—861no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4—861no—
1507C4⋊C4—861no—
1508C4⋊C4—861no—
1509C4⋊C4D4×D4311yescharacteristic
1510C4⋊C4D4×D4311yescharacteristic
1511C4⋊C4C23×D4311yescharacteristic
1512C4⋊C4C23×D4311yescharacteristic
1513C4⋊C4C23×D4311yescharacteristic
1514C4⋊C4C23×D4311yescharacteristic
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—431no—
1527C22⋊C4—431no—
1528C22⋊C4—431no—
1529C22⋊C4—431no—
1530C22⋊C4—431no—
1531C22⋊C4—431no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C22⋊C4D4×D4311yescharacteristic
1556C22⋊C4D4×D4311yescharacteristic
1557C42—21no—
1558C42—431no—
1559C42—431no—
1560C42—431no—
1561C42—431no—
1562C42—861no—
1563C42—861no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42C23×D4311yescharacteristic
1570C42C23×D4311yescharacteristic
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—42no—
1576C23—81no—
1577C23—81no—
1578C23—431no—
1579C23—431no—
1580C23—861no—
1581C23—861no—
1582C23—3441no—
1583C23—1722no—
1584C23—1722no—
1585C23C2×D4×D4311yescharacteristic
1586Q8—432no—
1587Q8—861no—
1588Q8—861no—
1589Q8—861no—
1590Q8—3441no—
1591Q8—1721no—
1592Q8—1722no—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—42no—
1601D4—81no—
1602D4—81no—
1603D4—81no—
1604D4—81no—
1605D4—861no—
1606D4—861no—
1607D4—861no—
1608D4—861no—
1609D4—3441no—
1610D4—3441no—
1611D4—3441no—
1612D4—3441no—
1613D4—3441no—
1614D4—3441no—
1615D4—3441no—
1616D4—3441no—
1617D4—3441no—
1618D4—3441no—
1619D4—3441no—
1620D4—3441no—
1621D4—1721no—
1622D4—1721no—
1623D4—1721no—
1624D4—1722no—
1625D4—1722no—
1626D4—1722no—
1627D4—1722no—
1628D4—1722no—
1629D4—1722no—
1630D4—1722no—
1631D4#41×D4312yes—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—81no—
1639C2×C4—81no—
1640C2×C4—81no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—431no—
1645C2×C4—431no—
1646C2×C4—431no—
1647C2×C4—431no—
1648C2×C4—431no—
1649C2×C4—431no—
1650C2×C4—861no—
1651C2×C4—861no—
1652C2×C4—861no—
1653C2×C4—861no—
1654C2×C4—861no—
1655C2×C4—861no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—3441no—
1661C2×C4—3441no—
1662C2×C4—3441no—
1663C2×C4—3441no—
1664C2×C4—3441no—
1665C2×C4—3441no—
1666C2×C4—3441no—
1667C2×C4—3441no—
1668C2×C4—3441no—
1669C2×C4—3441no—
1670C2×C4—1721no—
1671C2×C4—1721no—
1672C2×C4—1722no—
1673C2×C4—1722no—
1674C2×C4—1722no—
1675C2×C4—1722no—
1676C2×C4—1722no—
1677C2×C4—1722no—
1678C2×C4C2×D4×D4311yescharacteristic
1679C2×C4C2×D4×D4311yescharacteristic
1680C2×C4C2×D4×D4311yescharacteristic
1681C2×C4C2×D4×D4311yescharacteristic
1682C2×C4C2×D4×D4311yescharacteristic
1683C2×C4C24×D4311yescharacteristic
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—432no—
1689C8—861no—
1690C8—861no—
1691C8—861no—
1692C22—21no—
1693C22—22no—
1694C22—21no—
1695C22—21no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—162no—
1708C22—861no—
1709C22—861no—
1710C22—861no—
1711C22—861no—
1712C22—861no—
1713C22—861no—
1714C22—3444no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—1721no—
1721C22C22×D4×D4311yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—861no—
1732C4—861no—
1733C4—862no—
1734C4—861no—
1735C4—861no—
1736C4—861no—
1737C4—861no—
1738C4—1721no—
1739C4—1721no—
1740C4—1721no—
1741C4—1721no—
1742C4—1721no—
1743C4C2×#41×D4311yescharacteristic
1744C4#1458373511yescharacteristic
1745C2—41no—
1746C2—42no—
1747C2—81no—
1748C2—81no—
1749C2—81no—
1750C2—3441no—
1751C2—3441no—
1752C2—1721no—
1753C2—1721no—
1754C2#1914807811yescharacteristic
1755C2#1914937011yescharacteristic
1756C2#1914937011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3122C2
socleC22×C43C23×D4
hypercenter#3122D43
hypocenterC43#61507
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3122

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #19148597C2semidirect
2. #19148523C2semidirect
3. #19147640C2semidirect
4. #19147537C2semidirect
5. #19147361C2semidirect
6. #19147306C2semidirect
7. #19147148C2semidirect
8. #19147068C2semidirect
9. #19147062C2semidirect
10. #19146925C2semidirect
11. #19146793C2semidirect
12. #19146740C2semidirect
13. #19146719C2semidirect
14. #19146599C2semidirect
15. #19146560C2semidirect
16. #19146213C2semidirect
17. #19146141C2semidirect
18. #19146133C2semidirect
19. #19145280C2semidirect
20. #19145243C2semidirect
21. #19145188C2semidirect
22. #19144874C2semidirect
23. #19144790C2semidirect
24. #19144790C2semidirect
25. #19144700C2semidirect
26. #19144684C2semidirect
27. #19143578C2semidirect
28. #19143477C2semidirect
29. #19143427C2semidirect
30. C4×#13063349C2semidirect
31. C43×#3122C2semidirect
36. #14583626C22semidirect
38. #14583602C22semidirect
47. #14583569C22semidirect
48. #14583569C22semidirect
51. #14583567C22semidirect
53. #14583549C22semidirect
62. #14583500C22semidirect
66. #14583446C22semidirect
73. #14583379C22semidirect
75. #14583378C22semidirect
76. C4×#10621900C22semidirect
78. #14583309C22semidirect
79. #14583307C22semidirect
80. #14583299C22semidirect
81. #14583287C22semidirect
82. #14583286C22semidirect
85. #14583262C22semidirect
86. #14583262C22semidirect
87. #14583257C22semidirect
88. #14583256C22semidirect
89. #14583245C22semidirect
90. #14583243C22semidirect
91. #14583230C22semidirect
93. #14583219C22semidirect
95. #14583216C22semidirect
96. #14583216C22semidirect
97. #14583216C22semidirect
98. #14583214C22semidirect
99. #14583214C22semidirect
100. #14583209C22semidirect
101. #14583205C22semidirect
102. #14583205C22semidirect
104. #14583201C22semidirect
105. #14583201C22semidirect
106. #14583190C22semidirect
107. #14583188C22semidirect
109. #14583185C22semidirect
110. #14583153C22semidirect
114. #14583149C22semidirect
115. #14583146C22semidirect
116. #14583144C22semidirect
117. #14583143C22semidirect
118. #14583134C22semidirect
119. #14583134C22semidirect
121. #14583126C22semidirect
122. #14583122C22semidirect
123. #14583120C22semidirect
124. #14583115C22semidirect
125. #14583112C22semidirect
127. #14583098C22semidirect
128. #14583093C22semidirect
132. #14583063C22semidirect
133. #14583062C22semidirect
136. #14583045C22semidirect
139. #14583041C22semidirect
142. #14583028C22semidirect
143. #14583026C22semidirect
144. #14583012C22semidirect
148. #14583009C22semidirect
149. #14583009C22semidirect
150. #14583008C22semidirect
151. #14583007C22semidirect
152. #14583005C22semidirect
154. #14582999C22semidirect
155. #14582999C22semidirect
156. #14582998C22semidirect
159. #14582990C22semidirect
160. C4×#10621873C22semidirect
161. C4×#10621873C22semidirect
163. C4×#10621883C22semidirect
164. C4×#10621883C22semidirect
166. C4×#10621882C22semidirect
167. C4×#10621882C22semidirect
168. #14582976C22semidirect
170. #14582973C22semidirect
171. #14582969C22semidirect
173. #14582967C22semidirect
174. #14582958C22semidirect
175. #14582954C22semidirect
176. #14582942C22semidirect
177. #14582940C22semidirect
178. #106×D43C22semidirect
181. #14582897C22semidirect
182. #14582897C22semidirect
183. #14582893C22semidirect
185. #14582856C22semidirect
186. #14582855C22semidirect
187. C4×#10621872C22semidirect
188. C43×#540C22semidirect
190. C43×#482C22semidirect
191. C43×#482C22semidirect
193. C43×#478C22semidirect
195. C43×#459C22semidirect
199. C43×#442C22semidirect
201. C4×D8×C43C22semidirect
202. C43×#433C22semidirect
612. #10621883#41semidirect
889. #3122D43semidirect
942. #540C2×D43semidirect
973. #482C2×D43semidirect
974. #482C2×D43semidirect
989. #478C2×D43semidirect
1017. #459C2×D43semidirect
1040. #442C2×D43semidirect
1059. C4×D8C2×D43semidirect
1067. #433C2×D43semidirect
1081. C43#61507semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#191485972
#191485232
#191476402
#191475372
#191473612
#191473062
#191471482
#191470682
#191470622
#191469252
#191467932
#191467402
#191467192
#191465992
#191465602
#191462132
#191461412
#191461332
#191452802
#191452432
#191451882
#191448742
#191447902
#191447002
#191446842
#191435782
#191434772
#191434272
C4×#130633492
C43×#31222
#6150743